# Linear Algebra

1. Nov 1, 2007

### stuck_on_math

Let A be an m × n matrix of rank r and let A = U$$\Sigma$$V be an SVD of A. Prove that

Av$$^{j}$$= sigma^j* u$$^{j}$$ for 1<=j<=r

What is Av^j for r + 1<=j<=n?

2. Nov 1, 2007

### CompuChip

Well, what do you think?

3. Nov 1, 2007

### stuck_on_math

I don't know, that's why I am asking

4. Nov 2, 2007

### FunkyDwarf

You must have some idea.

5. Nov 2, 2007

### stuck_on_math

I really don't